Proximity effect in zero field with the Landau-Ginzburg equation. I

The proximity effect can be explained by solving the complete Landau-Ginzburg equation. The solution of the equation naturally produces a simple and explicit expression of the transition temperature for a film sandwich composed of a bulk superconductor and a normal metal. The gene- ral result obtained is TcSN/TcS=t=1-B₀{d}NξS/(dS²+3d N{d}S$/k) or an alternative, t=[1-${B}₀dN{{ξ}}S$/(${d}S²$+3${d}NdS/k)]1/2. The theoretical calculations fit experimental results very well.